Title :
Approximate Throughput Computation of Stochastic Weighted T-Systems
Author :
Pérez-Jiménez, Carlos J. ; Campos, Javier ; Silva, Manuel
Author_Institution :
Dept. of Comput. Sci. & Syst. Eng., Zaragoza Univ.
fDate :
5/1/2007 12:00:00 AM
Abstract :
A general iterative technique for approximate throughput computation of stochastic live and bounded weighted T-systems (WTS) is presented. It generalizes a previous technique on stochastic marked graphs. The approach has two basic foundations. First, a deep understanding of the qualitative behavior of WTS leads to a general decomposition technique. Second, after the decomposition phase, an iterative response-time approximation method is applied for the throughput computation. Existence of convergence points for the iterative approximation method can be proved. Experimental results generally have an error of less than 5%. The state space is usually reduced by more than one order of magnitude; therefore, the analysis of otherwise intractable systems is possible
Keywords :
Petri nets; approximation theory; graphs; iterative methods; stochastic systems; approximate throughput computation; general decomposition technique; iterative response-time approximation method; stochastic marked graphs; stochastic weighted T-systems; Approximation algorithms; Approximation methods; Assembly systems; Convergence; Iterative algorithms; Iterative methods; Performance analysis; Skeleton; Stochastic processes; Throughput; Approximation methods; Petri nets; performance evaluation; stochastic systems; structural decomposition;
Journal_Title :
Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on
DOI :
10.1109/TSMCA.2007.893455